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Simplifying 5(3x + -5) = 3(x + 2) + 7 Reorder the terms: 5(-5 + 3x) = 3(x + 2) + 7 (-5 * 5 + 3x * 5) = 3(x + 2) + 7 (-25 + 15x) = 3(x + 2) + 7 Reorder the terms: -25 + 15x = 3(2 + x) + 7 -25 + 15x = (2 * 3 + x * 3) + 7 -25 + 15x = (6 + 3x) + 7 Reorder the terms: -25 + 15x = 6 + 7 + 3x Combine like terms: 6 + 7 = 13 -25 + 15x = 13 + 3x Solving -25 + 15x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 15x + -3x = 13 + 3x + -3x Combine like terms: 15x + -3x = 12x -25 + 12x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 12x = 13 + 0 -25 + 12x = 13 Add '25' to each side of the equation. -25 + 25 + 12x = 13 + 25 Combine like terms: -25 + 25 = 0 0 + 12x = 13 + 25 12x = 13 + 25 Combine like terms: 13 + 25 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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